Finding the Third Proportional to 17,760 and 27,848

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760 : 27,848 = 27,848 : x
2. Step 2: Convert to fraction form
   17,760/27,848 = 27,848/x
3. Step 3: Cross multiply
   17,760x = 27,848 × 27,848
4. Step 4: Simplify right side
   17,760x = 775,511,104
5. Step 5: Solve for x
   x = 775,511,104/17,760
6. Step 6: Final answer
   x = 43,666.17